Question

find the sine of $\angle i$.
simplify your answer and write it as a proper fraction, improper fraction, or whole number.
$\sin(i) = \square$

Explanation:

Step1: Recall sine definition

For an acute angle in a right triangle, $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$

Step2: Identify sides for $\angle I$

Opposite side to $\angle I$: $GH = 30$, Hypotenuse: $HI = 34$

Step3: Substitute into formula

$\sin(I) = \frac{30}{34}$

Step4: Simplify the fraction

Divide numerator and denominator by 2: $\frac{30\div2}{34\div2} = \frac{15}{17}$

Answer:

$\frac{15}{17}$